Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
Volume 37, Issue 43, Pages 10167-10177Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0305-4470/37/43/010
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A real band condition is shown to exist for one-dimensional periodic complex non-Hermitian potentials exhibiting PE-symmetry. We use an exactly solvable ultralocal periodic potential to obtain the band structure and discuss some spectral features of the model, specially those concerning the role of the imaginary parameters of the couplings. Analytical results as well as some numerical examples are provided.
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